Clasificación de las representaciones indescomponibles de conjuntos parcialmente ordenados de ancho menor o igual que dos

Abstract

The main objective of this document is to study the classification theorem of indecomposable matrix representations for finite partially ordered sets (poset) P={1,2,...,n} of width less than or equal to two, as well as the most salient features of these representations, the admissible elementary transformations, the category structure with which it is possible to endow these representations denoted by Mat_P, the additivization category associated with P denoted Mat_P^{ad} and the relationship that exists between these two categories.